712138697590320 has 5760 divisors, whose sum is σ = 3628675317915648. Its totient is φ = 125536739328000.

The previous prime is 712138697590279. The next prime is 712138697590387. The reversal of 712138697590320 is 23095796831217.

712138697590320 is a `hidden beast` number, since 7 + 1 + 2 + 1 + 3 + 8 + 6 + 9 + 7 + 590 + 32 + 0 = 666.

712138697590320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 184923056395 + ... + 184923060245.

Almost surely, 2^{712138697590320} is an apocalyptic number.

712138697590320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 712138697590320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814337658957824).

712138697590320 is an abundant number, since it is smaller than the sum of its proper divisors (2916536620325328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

712138697590320 is a wasteful number, since it uses less digits than its factorization.

712138697590320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3983 (or 3952 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 712138697590320 in words is "seven hundred twelve trillion, one hundred thirty-eight billion, six hundred ninety-seven million, five hundred ninety thousand, three hundred twenty".